What is the Greatest Common Factor of 67457 and 67464?

Greatest common factor (GCF) of 67457 and 67464 is 1.

GCF(67457,67464) = 1

We will now calculate the prime factors of 67457 and 67464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67457 and 67464.

How to find the GCF of 67457 and 67464?

We will first find the prime factorization of 67457 and 67464. After we will calculate the factors of 67457 and 67464 and find the biggest common factor number .

Step-1: Prime Factorization of 67457

Prime factors of 67457 are 13, 5189. Prime factorization of 67457 in exponential form is:

67457 = 13¹ × 5189¹

Step-2: Prime Factorization of 67464

Prime factors of 67464 are 2, 3, 937. Prime factorization of 67464 in exponential form is:

67464 = 2³ × 3² × 937¹

Step-3: Factors of 67457

List of positive integer factors of 67457 that divides 67457 without a remainder.

1, 13, 5189

Step-4: Factors of 67464

List of positive integer factors of 67464 that divides 67457 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 937, 1874, 2811, 3748, 5622, 7496, 8433, 11244, 16866, 22488, 33732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67457 and 67464. The biggest common factor number is the GCF number.
So the greatest common factor 67457 and 67464 is 1.

Also check out the Least Common Multiple of 67457 and 67464